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#### Topics

1 Matrices

1.01 Brief Revision of Vectors Over a Real Field

1.02 Characteristic Polynomial

2 Vector Calculus

2.01 Brief Revision of Scalar and Vector Point Functions

2.02 Line Integrals, Surface Integrals, Volume Integrals

3 Non Linear Programming

3.01 Unconstrained Optimization

3.02 Problem with Inequality

4 Probability Distributions

4.01 Discrete and Continuous Random Variables

4.02 Probability Distributions

5 Sampling Theory

5.01 Sampling Distribution

5.02 Test of Significance for Large Samples

5.03 Studentâ€™S T-distribution

5.04 Analysis of Variance(F-test)

5.05 Chi-square Distribution

6 Correlation and Regression

6.01 Correlation, Co-variance

6.02 Regression Coefficients

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Question paper for Applied Mathematics 4 2008 - 2009 Semester 4 (SE Second Year) by University of Mumbai for the courses BE Mechanical Engineering, BE Production Engineering, BE Automobile Engineering, BE Civil Engineering.